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Finding the Fourth Proportional to 409.86, 614.80 and 136

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Solution

The fourth proportional to 409.86, 614.80 and 136 is: 204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 614.80 = 136 : x
  2. Step 2: Convert to fraction form
    409.86/614.80 = 136/x
  3. Step 3: Cross multiply
    409.86x = 614.80 × 136
  4. Step 4: Simplify right side
    409.86x = 83,612.80
  5. Step 5: Solve for x
    x = 83,612.80/409.86
  6. Step 6: Final answer
    x = 204.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.